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Finding the Fourth Proportional to 1,673.74, 2,310.34 and 975.70

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Solution

The fourth proportional to 1,673.74, 2,310.34 and 975.70 is: 1,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.74 : 2,310.34 = 975.70 : x
  2. Step 2: Convert to fraction form
    1,673.74/2,310.34 = 975.70/x
  3. Step 3: Cross multiply
    1,673.74x = 2,310.34 × 975.70
  4. Step 4: Simplify right side
    1,673.74x = 2,254,198.74
  5. Step 5: Solve for x
    x = 2,254,198.74/1,673.74
  6. Step 6: Final answer
    x = 1,346.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.